Another additional question for the polynomial sprinters.

If \(p(x)\) is a polynomial with integer co-efficients and a,b and c are three distinct integers,then show that it is impossible to have \(p(a) = b\),\(p(b) = c\) and \(p(c) = a\).

Another additional question for the polynomial sprinters.

If \(p(x)\) is a polynomial with integer co-efficients and a,b and c are three distinct integers,then show that it is impossible to have \(p(a) = b\),\(p(b) = c\) and \(p(c) = a\).

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TopNewestThis is in the book by Arthur Engel :D – Bogdan Simeonov · 3 years, 2 months ago

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– Eddie The Head · 3 years, 2 months ago

Oh...sorry...you're right............I actually had these copied in a notebook and hencd didn't underStANDLog in to reply

– Daniel Liu · 3 years, 2 months ago

This is also a USAMO problem.Log in to reply